GCD of 821, 864, 65 Calculator

Given Input numbers are 821, 864, 65

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Greatest Common Divisior

We found the divisors of 821, 864, 65 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 864, 65 is 1.

Therefore, GCD of numbers 821, 864, 65 is 1

Given Input Data is 821, 864, 65

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 821 is 821

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 65 is 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(821, 864) = 709344

GCD(821, 864) = ( 821 x 864 ) / 709344

GCD(821, 864) = 709344 / 709344

GCD(821, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

GCD of 821, 864, 65 is 1

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1. What is the GCD of 821, 864, 65?

GCD of 821, 864, 65 is 1

2. Where do I get the detailed procedure to find GCD of 821, 864, 65?

You can find a detailed procedure to find GCD of 821, 864, 65 on our page.

3. How to find GCD of 821, 864, 65 on a calculator?

You can find the GCD of 821, 864, 65 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.